Quantitative Methods Applied to Business Sciences

Aims and Learning Outcomes

To consolidate the knowledge in some subjects taught in secondary education;
To study essential topics in the Course’s areas of interest, emphasizing applications to administration, economics, and management.
To provide the knowledge of the wide variety of problems that can be formulated and solved with
use of mathematical concepts and results, as well as techniques based on them;

To articulate the subjects and show with practical examples that there are countless applications with solutions found through the mathematical modeling of real problems. This ensures a better understanding of the subjects and their usefulness.
To stimulate mental and analytical reasoning and calculation in order to create abilities for autonomous resolution
problems and stimulate the search and formulation of others.

Skills

Ability to timely apply the subjects to content-related problems with the syllabus of other curricular units and to some practical problems.

Dexterity in numerical manipulation, namely, in solving systems, calculating derivatives, and determination of optimal solutions.

Syllabus
Part 1. Matrix calculation

1. Systems of Linear Equations and Examples of Linear Models – Gauss and Gauss Elimination Method – Jordan.

2. Matrix algebra and its use.

3. Determinants.

4. Examples and applications (Portfolio Theory, IS-LM analysis, Leontief input-output matrix)

Part 2. Real functions
      1. Functions of one real variable

           1.1. Generalities.
           1.2. Limits and continuity.
           1.3. Derivative and derivation rules. Calculation of approximate values with differentials. Calculation of extremes.
           1.4. Fundamentals of primitives and integration.
           1.5.Examples and applications (production functions; cost, revenue, profit functions, respective marginal functions, Annuities, Present Value problems, and Optimal waiting time).

        2. Functions of two real variables

NAO